Finding the Third Proportional to 17,470 and 37,894

Step by Step Solution

1. Step 1: Write the proportion equation
   17,470 : 37,894 = 37,894 : x
2. Step 2: Convert to fraction form
   17,470/37,894 = 37,894/x
3. Step 3: Cross multiply
   17,470x = 37,894 × 37,894
4. Step 4: Simplify right side
   17,470x = 1,435,955,236
5. Step 5: Solve for x
   x = 1,435,955,236/17,470
6. Step 6: Final answer
   x = 82,195.49